Browsing by Subject "Dominance rule"
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Item Open Access A new dominance rule for the total weighted tardiness problem(Taylor & Francis, 1999) Aktürk, M. S.; Yıldırım, M. B.We present a new dominance rule for the single machine total weighted tardiness problem with job dependent penalties. The proposed dominance rule provides a sufficient condition for local optimality. We show that if any sequence violates the dominance rule, then switching the violating jobs either lowers the total weighted tardiness or leaves it unchanged. We also develop a new algorithm based on the dominance rule, which is compared to a number of competing heuristics for a set of randomly generated problems. Our computational results of over 40000 problems indicate that the proposed algorithm dominates the competing heuristics in all runs.Item Open Access A new dominance rule to minimize total weighted tardiness with unequal release dates(Elsevier, 2001) Aktürk, M .S.; Özdemir, D.We present a new dominance rule by considering the time-dependent orderings between each pair of jobs for the single machine total weighted tardiness problem with release dates. The proposed dominance rule provides a sufficient condition for local optimality. Therefore, if any sequence violates the dominance rule then switching the violating jobs either lowers the total weighted tardiness or leaves it unchanged. We introduce an algorithm based on the dominance rule, which is compared to a number of competing heuristics for a set of randomly generated problems. Our computational results indicate that the proposed algorithm dominates the competing algorithms in all runs, therefore it can improve the upper bounding scheme in any enumerative algorithm. The proposed time-dependent local dominance rule is also implemented in two local search algorithms to guide these algorithms to the areas that will most likely contain the good solutions.